If each of $A,$ $B,$ $C$ stands for a nonzero digit in the following addition, then find the three-digit number $ABC.$

\[
\begin{array}{cccc}
& A & C & B \\
& B & A & C \\
& B & C & A \\
& C & A & B \\
+ & C & B & A \\ \hline
1 & 2 & 2 & 3
\end{array}
\]

Answer:

46 miles per hour

Step-by-step explanation:

ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).

So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.

The miles per hour he was travelling is 46 miles.

The first step is determine the average speed. Average speed is the total distance travelled per time.

Average speed = total distance / total time

11.5 / 15 = 0.766667 miles / per minutes

Miles travelled = average speed x time

Miles travelled =  0.766667 x 60 = 46 minutes

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Answer:

I think it B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

h=2x^2

b=5x^2+4x

we know that

area of triangle (A)=1/2×b×h

=1/2×2x^2×(5x^2+4x)

=x^2(5x^2+4x)

=5x^4+4x^3 square units

Answer:

C) The 90% interval was constructed using a method that results in intervals which capture the true difference in the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes 90% of the time.

Step-by-step explanation:

x% confidence interval -> Options c, d and e:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

This means that options d and e are correct, while option c is not true.

Option a -> Critical Value:

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

This means that option A is true.

Estimate of the standard error:

Before building the estimate, we should take a look at the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

26 of 75 seniors:

This means that:

[tex]p_s = \frac{26}{75} = 0.3467, s_s = \sqrt{\frac{0.3467*0.6533}{75}} = 0.055[/tex]

15 of 70 juniors:

This means that:

[tex]p_j = \frac{15}{70} = 0.2143, s_j = \sqrt{\frac{0.2143*0.7857}{70}} = 0.049[/tex]

Estimate of the standard error:

[tex]s = \sqrt{s_s^2 + s_j^2} = \sqrt{0.055^2 + 0.049^2} = 0.074[/tex]

Thus option b is correct.

Answer:

B

Step-by-step explanation:

Overpopulation causes killing of animals

Answer:

B) An increase in biodiversity is good for the ecosystem because it provides a variety of species. Overpopulation is not good for the ecosystem because there are more individuals

Step-by-step explanation:

The bigger the ecosystem is, the more producers there are, which makes more consumers.

If there are too many consumers, then more populations will go extinct.

(I also had this on my quiz, ill tell you down below if I got it right)

EDITED!!: It was correct!! Have a nice day y'all! :)

Answer:

She will see that the pressure went up, not down!

Step-by-step explanation:

1. In a closed system, The volume inside the tire shouldn't change much (the losses will be small)

2. For a closed system, the Pressure inside a bicycle tire will increase with the increase of its Temperature

3. In a long bicycle ride, the constant friction of the tire to the ground will heat up the air inside the tire, thus increasing the pressure inside the tire

Answer:

(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.

Step-by-step explanation:

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.

At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:

[tex]H_0: \mu = 45327[/tex]

At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:

[tex]H_1: \mu > 45327[/tex]

With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?

The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.

This means that the correct answer is given by option A.

Answer:

it's 1/3x. You step three on the x-axis and one on the y-axis. So the gradient triangle is 1/3

Answer:

undefined

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1- x2} }[/tex]

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Slope of the line

[tex] = \frac{ - 2 - ( - 10)}{ - 1 - ( - 1)} [/tex]

[tex] = \frac{8}{0} [/tex]

(undefined)

Notice that the 2 points have the same x-coordinate of -1, which means that the line is a vertical line. Vertical lines have an undefined slope.

Answer: 1/2

Step-by-step explanation:

Answer:

There will be 28 green erasers. I know that the ratio is also 28:20, so there are 20 blu erasers.

Step-by-step explanation:

I time 7 by 4 and 5 by 4 to get the new ratio. I counted the ratios to get to 48.

Answer:

8624

Step-by-step explanation:

let's write four blanks to represent the number _ _ _ _

by rule #10 we can fill in one digit

_ 6 _ _

using rule 4 we can wee that the ones digit is 4

_ 6 _ 4

We know that the thousand's digit has to be an even number greater than 7 (which leaves 8 only)

8 6 _ 4

using rule 5 we can see that the tens digit is 2

get get

8624

Answer:

by solving 3

Step-by-step explanation:

Answer:

y=3x+6

Step-by-step explanation: 3=3(-1)+b

                                             3=-3+b

                                             +3  +3

                                              6=b

Answer:

consider a right angle triangle. ∠A = 90° , ∠B = [tex]\theta[/tex]

[tex]Sin\theta = \frac{6}{7} => AC = 6, BC = 7 \\\\BC^2 = AB^2 + AC^2 \\\\49 = 36 + AB^2 \\\\AB = \sqrt{13} \\\\Tan \theta = \frac{opposite}{adjacent } = \frac{6}{\sqrt{13} }[/tex]

Answer:

The width of the rectangular field is equal to 74 yards.

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Geometry

Perimeter Formula [Rectangle]:
[tex]\displaystyle P = 2l + 2w[/tex]

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = 332 yds

l = 92 yds

Step 2: Find Width

∴ the width of the field is equal to 74 yards.

___

Learn more about Geometry: https://brainly.com/question/27795993

___

Topic: Geometry

Answer:

9

Step-by-step explanation:

The GCF between 54 and 27 is nine.

Answer:

6x − y = 1 -------(1)

4x − 3y = −11 ------(2)

(1)×3

18x - 3y =3 ------(3)

4x − 3y = −11 ------(2)

(3)+(2)

18x - 3y + ( 4x - 3y) = 3+(-11)

d. 4x − 3(−6x − 1) = −11 is the answer.

Answer:

60º

Step-by-step explanation:

NXO = MXO - MXN

NXO = 110 - 50

NXO = 60

Answer:

what I got was 24438.9cm³

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

the altitude of the plane is 30,000 after 15 minutes

Step-by-step explanation:

since the plane goes up 2,000 ft per minute I multiplied 2,000 by 15(the minutes) and got 30,000

Answer:

x-7=16

Step-by-step explanation:

if x=23 substitute it in the equation

so; 23-7=?

23-7=16

your answer would be 16

Answer:

my dad never returned home

Answer:

First look at the number of bricks alone.

Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50

Next look at the time alone.

Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20

Now you can just multiply everything.

= 5*60/50*30/20

= 5*6/5*3/2

= 90\10

= 9.

Answer:

164

Step-by-step explanation:

5×8×2=80

7×12=84

84+80=164

Answer:

Solution given:

4x-16+2x+16=180{linear pair are supplementary]

6x=180

x=180/6

x=30

is a required answer.

Answer:

Option C

Step-by-step explanation:

Given :-

And we need to find out the equation of the line .We are here given slope and a point . So we can use the slope point form of the line. As ,

[tex]:\sf\implies m ( x - x_1)= y - y_1 \\\\\sf:\implies \dfrac{-1}{8}(x -0)= y - (-4) \\\\\sf:\implies \dfrac{-x}{8}= y +4 \\\\\sf:\implies \boxed{ \sf\red{y = \dfrac{-x}{8}-4}}[/tex]

Hence the option C is correct.

Answer:

Step-by-step explanation:

so when the height is zero, that's when the rocket hits the ground.  The equation will have two zeros,  but one would be for a negative time,  or before the rocket is launched.    so we only one the one after the rocket is launched.

use the quadratic formula to solve for  x  ( which is time)

-124 +- sqrt [ [tex]124^{2}[/tex] - 4*(-16)*(127) ] / 2 (-16)

-124 +- sqrt [15376 + 8128 ] / -32

-124 +- sqrt [23504 ] / -32

-124 +- 153.310 / -32

if we take the positive part it will become the negative time so skip that one try the negative part 1st

-124 - 153.310 / -32

-277.310 / -32

8.6659 seconds to hit the ground.    ( time of flight)  aka   TOF

8.67 seconds  ( rounded to nearest 100th)

Answer:

6 cm = __6*10=60____ mm *

50 mm = _[tex] \frac{50}{10} [/tex]__=5___ cm

100 mm=__[tex] \frac{100}{10} [/tex]=10____cm

20 mm = __[tex] \frac{20}{10} [/tex]_=2_____ cm

5kg = _5*1000=5000_____ g *

800g = ____[tex] \frac{800}{1000} [/tex]=0.8___kg

6000mg = ___[tex] \frac{6000}{1000000} [/tex]=0.006___kg *

2lit = _2*1000=2000_ml *

75ml = __[tex] \frac{75}{1000} [/tex]=0.075_lit *

82km = 82*1000=82000__m